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Finding the Fourth Proportional to 6,980.76, 10,441.98 and 6,299.10

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Solution

The fourth proportional to 6,980.76, 10,441.98 and 6,299.10 is: 9,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.76 : 10,441.98 = 6,299.10 : x
  2. Step 2: Convert to fraction form
    6,980.76/10,441.98 = 6,299.10/x
  3. Step 3: Cross multiply
    6,980.76x = 10,441.98 × 6,299.10
  4. Step 4: Simplify right side
    6,980.76x = 65,775,076.22
  5. Step 5: Solve for x
    x = 65,775,076.22/6,980.76
  6. Step 6: Final answer
    x = 9,422.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.